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Finding the Third Proportional to 367,050 and 564,354

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Solution

The third proportional to 367,050 and 564,354 is: 867,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,050 : 564,354 = 564,354 : x
  2. Step 2: Convert to fraction form
    367,050/564,354 = 564,354/x
  3. Step 3: Cross multiply
    367,050x = 564,354 × 564,354
  4. Step 4: Simplify right side
    367,050x = 318,495,437,316
  5. Step 5: Solve for x
    x = 318,495,437,316/367,050
  6. Step 6: Final answer
    x = 867,716.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.